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Finding the Fourth Proportional to 153,732, 212,150.16 and 86,664

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Solution

The fourth proportional to 153,732, 212,150.16 and 86,664 is: 119,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,732 : 212,150.16 = 86,664 : x
  2. Step 2: Convert to fraction form
    153,732/212,150.16 = 86,664/x
  3. Step 3: Cross multiply
    153,732x = 212,150.16 × 86,664
  4. Step 4: Simplify right side
    153,732x = 18,385,781,466.24
  5. Step 5: Solve for x
    x = 18,385,781,466.24/153,732
  6. Step 6: Final answer
    x = 119,596.32

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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.