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Finding the Fourth Proportional to 153,809.32, 212,248.74 and 86,737

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Solution

The fourth proportional to 153,809.32, 212,248.74 and 86,737 is: 119,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,809.32 : 212,248.74 = 86,737 : x
  2. Step 2: Convert to fraction form
    153,809.32/212,248.74 = 86,737/x
  3. Step 3: Cross multiply
    153,809.32x = 212,248.74 × 86,737
  4. Step 4: Simplify right side
    153,809.32x = 18,409,818,961.38
  5. Step 5: Solve for x
    x = 18,409,818,961.38/153,809.32
  6. Step 6: Final answer
    x = 119,692.48

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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.