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Finding the Fourth Proportional to 243,291.60, 364,937.40 and 77,079.60

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Solution

The fourth proportional to 243,291.60, 364,937.40 and 77,079.60 is: 115,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,291.60 : 364,937.40 = 77,079.60 : x
  2. Step 2: Convert to fraction form
    243,291.60/364,937.40 = 77,079.60/x
  3. Step 3: Cross multiply
    243,291.60x = 364,937.40 × 77,079.60
  4. Step 4: Simplify right side
    243,291.60x = 28,129,228,817.04
  5. Step 5: Solve for x
    x = 28,129,228,817.04/243,291.60
  6. Step 6: Final answer
    x = 115,619.40

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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.