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Finding the Fourth Proportional to 157,057.68, 216,741.08 and 85,439.28

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Solution

The fourth proportional to 157,057.68, 216,741.08 and 85,439.28 is: 117,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,057.68 : 216,741.08 = 85,439.28 : x
  2. Step 2: Convert to fraction form
    157,057.68/216,741.08 = 85,439.28/x
  3. Step 3: Cross multiply
    157,057.68x = 216,741.08 × 85,439.28
  4. Step 4: Simplify right side
    157,057.68x = 18,518,201,821.62
  5. Step 5: Solve for x
    x = 18,518,201,821.62/157,057.68
  6. Step 6: Final answer
    x = 117,907.01

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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.