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Finding the Fourth Proportional to 102,681.70, 141,624.93 and 64,919.50

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Solution

The fourth proportional to 102,681.70, 141,624.93 and 64,919.50 is: 89,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,681.70 : 141,624.93 = 64,919.50 : x
  2. Step 2: Convert to fraction form
    102,681.70/141,624.93 = 64,919.50/x
  3. Step 3: Cross multiply
    102,681.70x = 141,624.93 × 64,919.50
  4. Step 4: Simplify right side
    102,681.70x = 9,194,219,643.14
  5. Step 5: Solve for x
    x = 9,194,219,643.14/102,681.70
  6. Step 6: Final answer
    x = 89,540.98

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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.