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Finding the Fourth Proportional to 153,827.60, 212,281.88 and 86,759.60

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Solution

The fourth proportional to 153,827.60, 212,281.88 and 86,759.60 is: 119,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,827.60 : 212,281.88 = 86,759.60 : x
  2. Step 2: Convert to fraction form
    153,827.60/212,281.88 = 86,759.60/x
  3. Step 3: Cross multiply
    153,827.60x = 212,281.88 × 86,759.60
  4. Step 4: Simplify right side
    153,827.60x = 18,417,490,996.05
  5. Step 5: Solve for x
    x = 18,417,490,996.05/153,827.60
  6. Step 6: Final answer
    x = 119,728.13

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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.