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Finding the Fourth Proportional to 76,707.84, 105,850.08 and 42,713.76

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Solution

The fourth proportional to 76,707.84, 105,850.08 and 42,713.76 is: 58,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,707.84 : 105,850.08 = 42,713.76 : x
  2. Step 2: Convert to fraction form
    76,707.84/105,850.08 = 42,713.76/x
  3. Step 3: Cross multiply
    76,707.84x = 105,850.08 × 42,713.76
  4. Step 4: Simplify right side
    76,707.84x = 4,521,254,913.10
  5. Step 5: Solve for x
    x = 4,521,254,913.10/76,707.84
  6. Step 6: Final answer
    x = 58,941.24

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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.