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Finding the Fourth Proportional to 158,138.16, 237,207.45 and 64,643.91

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Solution

The fourth proportional to 158,138.16, 237,207.45 and 64,643.91 is: 96,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,138.16 : 237,207.45 = 64,643.91 : x
  2. Step 2: Convert to fraction form
    158,138.16/237,207.45 = 64,643.91/x
  3. Step 3: Cross multiply
    158,138.16x = 237,207.45 × 64,643.91
  4. Step 4: Simplify right side
    158,138.16x = 15,334,016,402.02
  5. Step 5: Solve for x
    x = 15,334,016,402.02/158,138.16
  6. Step 6: Final answer
    x = 96,965.95

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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.