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Finding the Fourth Proportional to 153,704, 230,355.12 and 78,760.64

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Solution

The fourth proportional to 153,704, 230,355.12 and 78,760.64 is: 118,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,704 : 230,355.12 = 78,760.64 : x
  2. Step 2: Convert to fraction form
    153,704/230,355.12 = 78,760.64/x
  3. Step 3: Cross multiply
    153,704x = 230,355.12 × 78,760.64
  4. Step 4: Simplify right side
    153,704x = 18,142,916,678.48
  5. Step 5: Solve for x
    x = 18,142,916,678.48/153,704
  6. Step 6: Final answer
    x = 118,038.03

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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.