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Finding the Fourth Proportional to 102,409.70, 141,267.51 and 64,102.76

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Solution

The fourth proportional to 102,409.70, 141,267.51 and 64,102.76 is: 88,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.70 : 141,267.51 = 64,102.76 : x
  2. Step 2: Convert to fraction form
    102,409.70/141,267.51 = 64,102.76/x
  3. Step 3: Cross multiply
    102,409.70x = 141,267.51 × 64,102.76
  4. Step 4: Simplify right side
    102,409.70x = 9,055,637,289.33
  5. Step 5: Solve for x
    x = 9,055,637,289.33/102,409.70
  6. Step 6: Final answer
    x = 88,425.58

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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.