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Finding the Fourth Proportional to 77,864.94, 107,457.51 and 47,640.78

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Solution

The fourth proportional to 77,864.94, 107,457.51 and 47,640.78 is: 65,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,864.94 : 107,457.51 = 47,640.78 : x
  2. Step 2: Convert to fraction form
    77,864.94/107,457.51 = 47,640.78/x
  3. Step 3: Cross multiply
    77,864.94x = 107,457.51 × 47,640.78
  4. Step 4: Simplify right side
    77,864.94x = 5,119,359,593.26
  5. Step 5: Solve for x
    x = 5,119,359,593.26/77,864.94
  6. Step 6: Final answer
    x = 65,746.66

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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.