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Finding the Fourth Proportional to 78,218.56, 107,916.24 and 44,223.76

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Solution

The fourth proportional to 78,218.56, 107,916.24 and 44,223.76 is: 61,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.56 : 107,916.24 = 44,223.76 : x
  2. Step 2: Convert to fraction form
    78,218.56/107,916.24 = 44,223.76/x
  3. Step 3: Cross multiply
    78,218.56x = 107,916.24 × 44,223.76
  4. Step 4: Simplify right side
    78,218.56x = 4,772,461,897.86
  5. Step 5: Solve for x
    x = 4,772,461,897.86/78,218.56
  6. Step 6: Final answer
    x = 61,014.44

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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.