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Finding the Fourth Proportional to 261,064.32, 391,726.56 and 103,406.40

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Solution

The fourth proportional to 261,064.32, 391,726.56 and 103,406.40 is: 155,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,064.32 : 391,726.56 = 103,406.40 : x
  2. Step 2: Convert to fraction form
    261,064.32/391,726.56 = 103,406.40/x
  3. Step 3: Cross multiply
    261,064.32x = 391,726.56 × 103,406.40
  4. Step 4: Simplify right side
    261,064.32x = 40,507,033,353.98
  5. Step 5: Solve for x
    x = 40,507,033,353.98/261,064.32
  6. Step 6: Final answer
    x = 155,161.12

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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.