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Finding the Fourth Proportional to 78,123.96, 116,503.06 and 69,512.64

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Solution

The fourth proportional to 78,123.96, 116,503.06 and 69,512.64 is: 103,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,123.96 : 116,503.06 = 69,512.64 : x
  2. Step 2: Convert to fraction form
    78,123.96/116,503.06 = 69,512.64/x
  3. Step 3: Cross multiply
    78,123.96x = 116,503.06 × 69,512.64
  4. Step 4: Simplify right side
    78,123.96x = 8,098,435,607.51
  5. Step 5: Solve for x
    x = 8,098,435,607.51/78,123.96
  6. Step 6: Final answer
    x = 103,661.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.