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Finding the Fourth Proportional to 76,151, 105,088.74 and 42,617

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Solution

The fourth proportional to 76,151, 105,088.74 and 42,617 is: 58,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,151 : 105,088.74 = 42,617 : x
  2. Step 2: Convert to fraction form
    76,151/105,088.74 = 42,617/x
  3. Step 3: Cross multiply
    76,151x = 105,088.74 × 42,617
  4. Step 4: Simplify right side
    76,151x = 4,478,566,832.58
  5. Step 5: Solve for x
    x = 4,478,566,832.58/76,151
  6. Step 6: Final answer
    x = 58,811.66

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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.