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Finding the Fourth Proportional to 261,369, 392,053.50 and 113,625

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Solution

The fourth proportional to 261,369, 392,053.50 and 113,625 is: 170,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,369 : 392,053.50 = 113,625 : x
  2. Step 2: Convert to fraction form
    261,369/392,053.50 = 113,625/x
  3. Step 3: Cross multiply
    261,369x = 392,053.50 × 113,625
  4. Step 4: Simplify right side
    261,369x = 44,547,078,937.50
  5. Step 5: Solve for x
    x = 44,547,078,937.50/261,369
  6. Step 6: Final answer
    x = 170,437.50

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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.