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Finding the Fourth Proportional to 100,009.80, 137,948.49 and 64,143

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Solution

The fourth proportional to 100,009.80, 137,948.49 and 64,143 is: 88,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,009.80 : 137,948.49 = 64,143 : x
  2. Step 2: Convert to fraction form
    100,009.80/137,948.49 = 64,143/x
  3. Step 3: Cross multiply
    100,009.80x = 137,948.49 × 64,143
  4. Step 4: Simplify right side
    100,009.80x = 8,848,429,994.07
  5. Step 5: Solve for x
    x = 8,848,429,994.07/100,009.80
  6. Step 6: Final answer
    x = 88,475.63

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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.