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Finding the Fourth Proportional to 157,466.16, 235,978.20 and 86,205.60

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Solution

The fourth proportional to 157,466.16, 235,978.20 and 86,205.60 is: 129,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,466.16 : 235,978.20 = 86,205.60 : x
  2. Step 2: Convert to fraction form
    157,466.16/235,978.20 = 86,205.60/x
  3. Step 3: Cross multiply
    157,466.16x = 235,978.20 × 86,205.60
  4. Step 4: Simplify right side
    157,466.16x = 20,342,642,317.92
  5. Step 5: Solve for x
    x = 20,342,642,317.92/157,466.16
  6. Step 6: Final answer
    x = 129,187.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.