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Finding the Fourth Proportional to 77,602.32, 107,039.76 and 53,370.24

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Solution

The fourth proportional to 77,602.32, 107,039.76 and 53,370.24 is: 73,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,602.32 : 107,039.76 = 53,370.24 : x
  2. Step 2: Convert to fraction form
    77,602.32/107,039.76 = 53,370.24/x
  3. Step 3: Cross multiply
    77,602.32x = 107,039.76 × 53,370.24
  4. Step 4: Simplify right side
    77,602.32x = 5,712,737,680.74
  5. Step 5: Solve for x
    x = 5,712,737,680.74/77,602.32
  6. Step 6: Final answer
    x = 73,615.55

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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.