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Finding the Fourth Proportional to 78,914.40, 118,270.80 and 32,114.40

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Solution

The fourth proportional to 78,914.40, 118,270.80 and 32,114.40 is: 48,130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,914.40 : 118,270.80 = 32,114.40 : x
  2. Step 2: Convert to fraction form
    78,914.40/118,270.80 = 32,114.40/x
  3. Step 3: Cross multiply
    78,914.40x = 118,270.80 × 32,114.40
  4. Step 4: Simplify right side
    78,914.40x = 3,798,195,779.52
  5. Step 5: Solve for x
    x = 3,798,195,779.52/78,914.40
  6. Step 6: Final answer
    x = 48,130.58

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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.