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Finding the Fourth Proportional to 76,140, 105,073.20 and 42,616.80

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Solution

The fourth proportional to 76,140, 105,073.20 and 42,616.80 is: 58,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140 : 105,073.20 = 42,616.80 : x
  2. Step 2: Convert to fraction form
    76,140/105,073.20 = 42,616.80/x
  3. Step 3: Cross multiply
    76,140x = 105,073.20 × 42,616.80
  4. Step 4: Simplify right side
    76,140x = 4,477,883,549.76
  5. Step 5: Solve for x
    x = 4,477,883,549.76/76,140
  6. Step 6: Final answer
    x = 58,811.18

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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.