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Finding the Fourth Proportional to 157,142.78, 216,852.84 and 85,521.26

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Solution

The fourth proportional to 157,142.78, 216,852.84 and 85,521.26 is: 118,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,142.78 : 216,852.84 = 85,521.26 : x
  2. Step 2: Convert to fraction form
    157,142.78/216,852.84 = 85,521.26/x
  3. Step 3: Cross multiply
    157,142.78x = 216,852.84 × 85,521.26
  4. Step 4: Simplify right side
    157,142.78x = 18,545,528,111.38
  5. Step 5: Solve for x
    x = 18,545,528,111.38/157,142.78
  6. Step 6: Final answer
    x = 118,017.06

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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.