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Finding the Fourth Proportional to 52,001.60, 78,002.40 and 51,483.20

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Solution

The fourth proportional to 52,001.60, 78,002.40 and 51,483.20 is: 77,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001.60 : 78,002.40 = 51,483.20 : x
  2. Step 2: Convert to fraction form
    52,001.60/78,002.40 = 51,483.20/x
  3. Step 3: Cross multiply
    52,001.60x = 78,002.40 × 51,483.20
  4. Step 4: Simplify right side
    52,001.60x = 4,015,813,159.68
  5. Step 5: Solve for x
    x = 4,015,813,159.68/52,001.60
  6. Step 6: Final answer
    x = 77,224.80

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1.5x scale

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.