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Finding the Fourth Proportional to 158,710.69, 219,013.23 and 87,089.14

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Solution

The fourth proportional to 158,710.69, 219,013.23 and 87,089.14 is: 120,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,710.69 : 219,013.23 = 87,089.14 : x
  2. Step 2: Convert to fraction form
    158,710.69/219,013.23 = 87,089.14/x
  3. Step 3: Cross multiply
    158,710.69x = 219,013.23 × 87,089.14
  4. Step 4: Simplify right side
    158,710.69x = 19,073,673,849.32
  5. Step 5: Solve for x
    x = 19,073,673,849.32/158,710.69
  6. Step 6: Final answer
    x = 120,178.89

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1.5x scale

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.