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Finding the Fourth Proportional to 142,124.95, 213,298.80 and 99,150.91

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Solution

The fourth proportional to 142,124.95, 213,298.80 and 99,150.91 is: 148,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,124.95 : 213,298.80 = 99,150.91 : x
  2. Step 2: Convert to fraction form
    142,124.95/213,298.80 = 99,150.91/x
  3. Step 3: Cross multiply
    142,124.95x = 213,298.80 × 99,150.91
  4. Step 4: Simplify right side
    142,124.95x = 21,148,769,588.66
  5. Step 5: Solve for x
    x = 21,148,769,588.66/142,124.95
  6. Step 6: Final answer
    x = 148,804.06

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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.