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Finding the Fourth Proportional to 210,442.66, 315,663.98 and 77,265.28

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Solution

The fourth proportional to 210,442.66, 315,663.98 and 77,265.28 is: 115,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,442.66 : 315,663.98 = 77,265.28 : x
  2. Step 2: Convert to fraction form
    210,442.66/315,663.98 = 77,265.28/x
  3. Step 3: Cross multiply
    210,442.66x = 315,663.98 × 77,265.28
  4. Step 4: Simplify right side
    210,442.66x = 24,389,865,800.61
  5. Step 5: Solve for x
    x = 24,389,865,800.61/210,442.66
  6. Step 6: Final answer
    x = 115,897.92

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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.