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Finding the Fourth Proportional to 76,272, 105,261.12 and 42,740.16

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Solution

The fourth proportional to 76,272, 105,261.12 and 42,740.16 is: 58,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,272 : 105,261.12 = 42,740.16 : x
  2. Step 2: Convert to fraction form
    76,272/105,261.12 = 42,740.16/x
  3. Step 3: Cross multiply
    76,272x = 105,261.12 × 42,740.16
  4. Step 4: Simplify right side
    76,272x = 4,498,877,110.58
  5. Step 5: Solve for x
    x = 4,498,877,110.58/76,272
  6. Step 6: Final answer
    x = 58,984.65

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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.