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Finding the Fourth Proportional to 256,866.95, 385,411.19 and 99,206.12

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Solution

The fourth proportional to 256,866.95, 385,411.19 and 99,206.12 is: 148,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,866.95 : 385,411.19 = 99,206.12 : x
  2. Step 2: Convert to fraction form
    256,866.95/385,411.19 = 99,206.12/x
  3. Step 3: Cross multiply
    256,866.95x = 385,411.19 × 99,206.12
  4. Step 4: Simplify right side
    256,866.95x = 38,235,146,341.40
  5. Step 5: Solve for x
    x = 38,235,146,341.40/256,866.95
  6. Step 6: Final answer
    x = 148,851.95

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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.