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Finding the Fourth Proportional to 214,573.77, 296,019.29 and 129,641.63

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Solution

The fourth proportional to 214,573.77, 296,019.29 and 129,641.63 is: 178,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,573.77 : 296,019.29 = 129,641.63 : x
  2. Step 2: Convert to fraction form
    214,573.77/296,019.29 = 129,641.63/x
  3. Step 3: Cross multiply
    214,573.77x = 296,019.29 × 129,641.63
  4. Step 4: Simplify right side
    214,573.77x = 38,376,423,267.04
  5. Step 5: Solve for x
    x = 38,376,423,267.04/214,573.77
  6. Step 6: Final answer
    x = 178,849.55

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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.