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Finding the Fourth Proportional to 208,807.98, 288,155.20 and 113,314.68

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Solution

The fourth proportional to 208,807.98, 288,155.20 and 113,314.68 is: 156,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,807.98 : 288,155.20 = 113,314.68 : x
  2. Step 2: Convert to fraction form
    208,807.98/288,155.20 = 113,314.68/x
  3. Step 3: Cross multiply
    208,807.98x = 288,155.20 × 113,314.68
  4. Step 4: Simplify right side
    208,807.98x = 32,652,214,278.34
  5. Step 5: Solve for x
    x = 32,652,214,278.34/208,807.98
  6. Step 6: Final answer
    x = 156,374.36

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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.