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Finding the Fourth Proportional to 76,840.50, 106,035.80 and 42,852.48

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Solution

The fourth proportional to 76,840.50, 106,035.80 and 42,852.48 is: 59,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,840.50 : 106,035.80 = 42,852.48 : x
  2. Step 2: Convert to fraction form
    76,840.50/106,035.80 = 42,852.48/x
  3. Step 3: Cross multiply
    76,840.50x = 106,035.80 × 42,852.48
  4. Step 4: Simplify right side
    76,840.50x = 4,543,896,998.78
  5. Step 5: Solve for x
    x = 4,543,896,998.78/76,840.50
  6. Step 6: Final answer
    x = 59,134.14

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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.