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Finding the Fourth Proportional to 77,432.88, 106,856.88 and 42,977.24

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Solution

The fourth proportional to 77,432.88, 106,856.88 and 42,977.24 is: 59,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,432.88 : 106,856.88 = 42,977.24 : x
  2. Step 2: Convert to fraction form
    77,432.88/106,856.88 = 42,977.24/x
  3. Step 3: Cross multiply
    77,432.88x = 106,856.88 × 42,977.24
  4. Step 4: Simplify right side
    77,432.88x = 4,592,413,777.41
  5. Step 5: Solve for x
    x = 4,592,413,777.41/77,432.88
  6. Step 6: Final answer
    x = 59,308.32

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1.5x scale

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.