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Finding the Fourth Proportional to 256,685.72, 385,094.18 and 98,871.80

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Solution

The fourth proportional to 256,685.72, 385,094.18 and 98,871.80 is: 148,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,685.72 : 385,094.18 = 98,871.80 : x
  2. Step 2: Convert to fraction form
    256,685.72/385,094.18 = 98,871.80/x
  3. Step 3: Cross multiply
    256,685.72x = 385,094.18 × 98,871.80
  4. Step 4: Simplify right side
    256,685.72x = 38,074,954,746.12
  5. Step 5: Solve for x
    x = 38,074,954,746.12/256,685.72
  6. Step 6: Final answer
    x = 148,332.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.