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Finding the Fourth Proportional to 103,436.61, 142,748.60 and 77,897.91

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Solution

The fourth proportional to 103,436.61, 142,748.60 and 77,897.91 is: 107,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,436.61 : 142,748.60 = 77,897.91 : x
  2. Step 2: Convert to fraction form
    103,436.61/142,748.60 = 77,897.91/x
  3. Step 3: Cross multiply
    103,436.61x = 142,748.60 × 77,897.91
  4. Step 4: Simplify right side
    103,436.61x = 11,119,817,205.94
  5. Step 5: Solve for x
    x = 11,119,817,205.94/103,436.61
  6. Step 6: Final answer
    x = 107,503.69

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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.