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Finding the Fourth Proportional to 219,658.12, 302,968.02 and 139,098.76

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Solution

The fourth proportional to 219,658.12, 302,968.02 and 139,098.76 is: 191,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,658.12 : 302,968.02 = 139,098.76 : x
  2. Step 2: Convert to fraction form
    219,658.12/302,968.02 = 139,098.76/x
  3. Step 3: Cross multiply
    219,658.12x = 302,968.02 × 139,098.76
  4. Step 4: Simplify right side
    219,658.12x = 42,142,475,901.66
  5. Step 5: Solve for x
    x = 42,142,475,901.66/219,658.12
  6. Step 6: Final answer
    x = 191,854.85

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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.