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Finding the Fourth Proportional to 109,985.76, 151,780.74 and 59,684.76

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Solution

The fourth proportional to 109,985.76, 151,780.74 and 59,684.76 is: 82,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,985.76 : 151,780.74 = 59,684.76 : x
  2. Step 2: Convert to fraction form
    109,985.76/151,780.74 = 59,684.76/x
  3. Step 3: Cross multiply
    109,985.76x = 151,780.74 × 59,684.76
  4. Step 4: Simplify right side
    109,985.76x = 9,058,997,039.52
  5. Step 5: Solve for x
    x = 9,058,997,039.52/109,985.76
  6. Step 6: Final answer
    x = 82,365.18

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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.