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Finding the Fourth Proportional to 76,113.92, 105,041.28 and 42,574.08

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Solution

The fourth proportional to 76,113.92, 105,041.28 and 42,574.08 is: 58,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,113.92 : 105,041.28 = 42,574.08 : x
  2. Step 2: Convert to fraction form
    76,113.92/105,041.28 = 42,574.08/x
  3. Step 3: Cross multiply
    76,113.92x = 105,041.28 × 42,574.08
  4. Step 4: Simplify right side
    76,113.92x = 4,472,035,858.02
  5. Step 5: Solve for x
    x = 4,472,035,858.02/76,113.92
  6. Step 6: Final answer
    x = 58,754.51

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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.