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Finding the Fourth Proportional to 77,735.92, 116,603.87 and 42,897.01

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Solution

The fourth proportional to 77,735.92, 116,603.87 and 42,897.01 is: 64,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,735.92 : 116,603.87 = 42,897.01 : x
  2. Step 2: Convert to fraction form
    77,735.92/116,603.87 = 42,897.01/x
  3. Step 3: Cross multiply
    77,735.92x = 116,603.87 × 42,897.01
  4. Step 4: Simplify right side
    77,735.92x = 5,001,957,377.43
  5. Step 5: Solve for x
    x = 5,001,957,377.43/77,735.92
  6. Step 6: Final answer
    x = 64,345.51

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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.