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Finding the Fourth Proportional to 76,838.60, 106,037.80 and 42,849.20

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Solution

The fourth proportional to 76,838.60, 106,037.80 and 42,849.20 is: 59,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,838.60 : 106,037.80 = 42,849.20 : x
  2. Step 2: Convert to fraction form
    76,838.60/106,037.80 = 42,849.20/x
  3. Step 3: Cross multiply
    76,838.60x = 106,037.80 × 42,849.20
  4. Step 4: Simplify right side
    76,838.60x = 4,543,634,899.76
  5. Step 5: Solve for x
    x = 4,543,634,899.76/76,838.60
  6. Step 6: Final answer
    x = 59,132.19

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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.