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Finding the Fourth Proportional to 157,109.22, 216,807.18 and 85,489.44

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Solution

The fourth proportional to 157,109.22, 216,807.18 and 85,489.44 is: 117,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109.22 : 216,807.18 = 85,489.44 : x
  2. Step 2: Convert to fraction form
    157,109.22/216,807.18 = 85,489.44/x
  3. Step 3: Cross multiply
    157,109.22x = 216,807.18 × 85,489.44
  4. Step 4: Simplify right side
    157,109.22x = 18,534,724,406.18
  5. Step 5: Solve for x
    x = 18,534,724,406.18/157,109.22
  6. Step 6: Final answer
    x = 117,973.50

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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.