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Finding the Fourth Proportional to 157,012.48, 216,678.24 and 85,393.28

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Solution

The fourth proportional to 157,012.48, 216,678.24 and 85,393.28 is: 117,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,012.48 : 216,678.24 = 85,393.28 : x
  2. Step 2: Convert to fraction form
    157,012.48/216,678.24 = 85,393.28/x
  3. Step 3: Cross multiply
    157,012.48x = 216,678.24 × 85,393.28
  4. Step 4: Simplify right side
    157,012.48x = 18,502,865,618.23
  5. Step 5: Solve for x
    x = 18,502,865,618.23/157,012.48
  6. Step 6: Final answer
    x = 117,843.28

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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.