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Finding the Fourth Proportional to 65,664,501.60, 98,496,752.40 and 38,454,722.40

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Solution

The fourth proportional to 65,664,501.60, 98,496,752.40 and 38,454,722.40 is: 57,682,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664,501.60 : 98,496,752.40 = 38,454,722.40 : x
  2. Step 2: Convert to fraction form
    65,664,501.60/98,496,752.40 = 38,454,722.40/x
  3. Step 3: Cross multiply
    65,664,501.60x = 98,496,752.40 × 38,454,722.40
  4. Step 4: Simplify right side
    65,664,501.60x = 3,787,665,270,843,534
  5. Step 5: Solve for x
    x = 3,787,665,270,843,534/65,664,501.60
  6. Step 6: Final answer
    x = 57,682,083.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.