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Finding the Fourth Proportional to 77,658.31, 116,316.71 and 64,178.53

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Solution

The fourth proportional to 77,658.31, 116,316.71 and 64,178.53 is: 96,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.31 : 116,316.71 = 64,178.53 : x
  2. Step 2: Convert to fraction form
    77,658.31/116,316.71 = 64,178.53/x
  3. Step 3: Cross multiply
    77,658.31x = 116,316.71 × 64,178.53
  4. Step 4: Simplify right side
    77,658.31x = 7,465,035,462.24
  5. Step 5: Solve for x
    x = 7,465,035,462.24/77,658.31
  6. Step 6: Final answer
    x = 96,126.68

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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.