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Finding the Fourth Proportional to 153,138.24, 211,349.76 and 86,070.24

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Solution

The fourth proportional to 153,138.24, 211,349.76 and 86,070.24 is: 118,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,138.24 : 211,349.76 = 86,070.24 : x
  2. Step 2: Convert to fraction form
    153,138.24/211,349.76 = 86,070.24/x
  3. Step 3: Cross multiply
    153,138.24x = 211,349.76 × 86,070.24
  4. Step 4: Simplify right side
    153,138.24x = 18,190,924,567.14
  5. Step 5: Solve for x
    x = 18,190,924,567.14/153,138.24
  6. Step 6: Final answer
    x = 118,787.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.