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Finding the Fourth Proportional to 105,582.12, 158,005.02 and 86,384.89

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Solution

The fourth proportional to 105,582.12, 158,005.02 and 86,384.89 is: 129,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,582.12 : 158,005.02 = 86,384.89 : x
  2. Step 2: Convert to fraction form
    105,582.12/158,005.02 = 86,384.89/x
  3. Step 3: Cross multiply
    105,582.12x = 158,005.02 × 86,384.89
  4. Step 4: Simplify right side
    105,582.12x = 13,649,246,307.68
  5. Step 5: Solve for x
    x = 13,649,246,307.68/105,582.12
  6. Step 6: Final answer
    x = 129,276.12

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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.