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Finding the Fourth Proportional to 152,130.70, 209,870.52 and 98,433.22

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Solution

The fourth proportional to 152,130.70, 209,870.52 and 98,433.22 is: 135,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,130.70 : 209,870.52 = 98,433.22 : x
  2. Step 2: Convert to fraction form
    152,130.70/209,870.52 = 98,433.22/x
  3. Step 3: Cross multiply
    152,130.70x = 209,870.52 × 98,433.22
  4. Step 4: Simplify right side
    152,130.70x = 20,658,231,066.67
  5. Step 5: Solve for x
    x = 20,658,231,066.67/152,130.70
  6. Step 6: Final answer
    x = 135,792.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.