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Finding the Fourth Proportional to 158,710.91, 219,020.74 and 86,113.77

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Solution

The fourth proportional to 158,710.91, 219,020.74 and 86,113.77 is: 118,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,710.91 : 219,020.74 = 86,113.77 : x
  2. Step 2: Convert to fraction form
    158,710.91/219,020.74 = 86,113.77/x
  3. Step 3: Cross multiply
    158,710.91x = 219,020.74 × 86,113.77
  4. Step 4: Simplify right side
    158,710.91x = 18,860,701,199.02
  5. Step 5: Solve for x
    x = 18,860,701,199.02/158,710.91
  6. Step 6: Final answer
    x = 118,836.83

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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.