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Finding the Fourth Proportional to 157,007.43, 216,668.16 and 85,385.91

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Solution

The fourth proportional to 157,007.43, 216,668.16 and 85,385.91 is: 117,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,007.43 : 216,668.16 = 85,385.91 : x
  2. Step 2: Convert to fraction form
    157,007.43/216,668.16 = 85,385.91/x
  3. Step 3: Cross multiply
    157,007.43x = 216,668.16 × 85,385.91
  4. Step 4: Simplify right side
    157,007.43x = 18,500,408,009.63
  5. Step 5: Solve for x
    x = 18,500,408,009.63/157,007.43
  6. Step 6: Final answer
    x = 117,831.42

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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.