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Finding the Fourth Proportional to 77,102.88, 106,402.80 and 45,272.16

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Solution

The fourth proportional to 77,102.88, 106,402.80 and 45,272.16 is: 62,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102.88 : 106,402.80 = 45,272.16 : x
  2. Step 2: Convert to fraction form
    77,102.88/106,402.80 = 45,272.16/x
  3. Step 3: Cross multiply
    77,102.88x = 106,402.80 × 45,272.16
  4. Step 4: Simplify right side
    77,102.88x = 4,817,084,586.05
  5. Step 5: Solve for x
    x = 4,817,084,586.05/77,102.88
  6. Step 6: Final answer
    x = 62,476.07

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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.