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Finding the Fourth Proportional to 92,140.16, 138,482.88 and 76,447

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Solution

The fourth proportional to 92,140.16, 138,482.88 and 76,447 is: 114,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,140.16 : 138,482.88 = 76,447 : x
  2. Step 2: Convert to fraction form
    92,140.16/138,482.88 = 76,447/x
  3. Step 3: Cross multiply
    92,140.16x = 138,482.88 × 76,447
  4. Step 4: Simplify right side
    92,140.16x = 10,586,600,727.36
  5. Step 5: Solve for x
    x = 10,586,600,727.36/92,140.16
  6. Step 6: Final answer
    x = 114,896.70

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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.