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Finding the Fourth Proportional to 78,156.66, 117,211.04 and 28,230.60

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Solution

The fourth proportional to 78,156.66, 117,211.04 and 28,230.60 is: 42,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.66 : 117,211.04 = 28,230.60 : x
  2. Step 2: Convert to fraction form
    78,156.66/117,211.04 = 28,230.60/x
  3. Step 3: Cross multiply
    78,156.66x = 117,211.04 × 28,230.60
  4. Step 4: Simplify right side
    78,156.66x = 3,308,937,985.82
  5. Step 5: Solve for x
    x = 3,308,937,985.82/78,156.66
  6. Step 6: Final answer
    x = 42,337.25

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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.