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Finding the Fourth Proportional to 86,123.76, 129,208.68 and 77,898.48

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Solution

The fourth proportional to 86,123.76, 129,208.68 and 77,898.48 is: 116,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,123.76 : 129,208.68 = 77,898.48 : x
  2. Step 2: Convert to fraction form
    86,123.76/129,208.68 = 77,898.48/x
  3. Step 3: Cross multiply
    86,123.76x = 129,208.68 × 77,898.48
  4. Step 4: Simplify right side
    86,123.76x = 10,065,159,774.81
  5. Step 5: Solve for x
    x = 10,065,159,774.81/86,123.76
  6. Step 6: Final answer
    x = 116,868.56

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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.