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Finding the Fourth Proportional to 76,434.68, 105,492.34 and 42,454.11

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Solution

The fourth proportional to 76,434.68, 105,492.34 and 42,454.11 is: 58,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434.68 : 105,492.34 = 42,454.11 : x
  2. Step 2: Convert to fraction form
    76,434.68/105,492.34 = 42,454.11/x
  3. Step 3: Cross multiply
    76,434.68x = 105,492.34 × 42,454.11
  4. Step 4: Simplify right side
    76,434.68x = 4,478,583,527.73
  5. Step 5: Solve for x
    x = 4,478,583,527.73/76,434.68
  6. Step 6: Final answer
    x = 58,593.60

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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.