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Finding the Fourth Proportional to 76,840.49, 106,035.81 and 42,852.49

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Solution

The fourth proportional to 76,840.49, 106,035.81 and 42,852.49 is: 59,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,840.49 : 106,035.81 = 42,852.49 : x
  2. Step 2: Convert to fraction form
    76,840.49/106,035.81 = 42,852.49/x
  3. Step 3: Cross multiply
    76,840.49x = 106,035.81 × 42,852.49
  4. Step 4: Simplify right side
    76,840.49x = 4,543,898,487.67
  5. Step 5: Solve for x
    x = 4,543,898,487.67/76,840.49
  6. Step 6: Final answer
    x = 59,134.17

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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.