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Finding the Fourth Proportional to 158,898.85, 219,282 and 86,303.16

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Solution

The fourth proportional to 158,898.85, 219,282 and 86,303.16 is: 119,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,898.85 : 219,282 = 86,303.16 : x
  2. Step 2: Convert to fraction form
    158,898.85/219,282 = 86,303.16/x
  3. Step 3: Cross multiply
    158,898.85x = 219,282 × 86,303.16
  4. Step 4: Simplify right side
    158,898.85x = 18,924,729,531.12
  5. Step 5: Solve for x
    x = 18,924,729,531.12/158,898.85
  6. Step 6: Final answer
    x = 119,099.22

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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.