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Finding the Fourth Proportional to 208,148.90, 287,246.33 and 112,655.57

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Solution

The fourth proportional to 208,148.90, 287,246.33 and 112,655.57 is: 155,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,148.90 : 287,246.33 = 112,655.57 : x
  2. Step 2: Convert to fraction form
    208,148.90/287,246.33 = 112,655.57/x
  3. Step 3: Cross multiply
    208,148.90x = 287,246.33 × 112,655.57
  4. Step 4: Simplify right side
    208,148.90x = 32,359,897,037.05
  5. Step 5: Solve for x
    x = 32,359,897,037.05/208,148.90
  6. Step 6: Final answer
    x = 155,465.14

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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.