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Finding the Fourth Proportional to 76,238.61, 105,210.24 and 42,247.76

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Solution

The fourth proportional to 76,238.61, 105,210.24 and 42,247.76 is: 58,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238.61 : 105,210.24 = 42,247.76 : x
  2. Step 2: Convert to fraction form
    76,238.61/105,210.24 = 42,247.76/x
  3. Step 3: Cross multiply
    76,238.61x = 105,210.24 × 42,247.76
  4. Step 4: Simplify right side
    76,238.61x = 4,444,896,601.44
  5. Step 5: Solve for x
    x = 4,444,896,601.44/76,238.61
  6. Step 6: Final answer
    x = 58,302.44

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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.