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Finding the Fourth Proportional to 261,495.16, 391,898.16 and 103,637.56

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Solution

The fourth proportional to 261,495.16, 391,898.16 and 103,637.56 is: 155,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,495.16 : 391,898.16 = 103,637.56 : x
  2. Step 2: Convert to fraction form
    261,495.16/391,898.16 = 103,637.56/x
  3. Step 3: Cross multiply
    261,495.16x = 391,898.16 × 103,637.56
  4. Step 4: Simplify right side
    261,495.16x = 40,615,369,070.89
  5. Step 5: Solve for x
    x = 40,615,369,070.89/261,495.16
  6. Step 6: Final answer
    x = 155,319.77

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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.