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Finding the Fourth Proportional to 102,705.70, 141,658.05 and 64,943.50

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Solution

The fourth proportional to 102,705.70, 141,658.05 and 64,943.50 is: 89,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.70 : 141,658.05 = 64,943.50 : x
  2. Step 2: Convert to fraction form
    102,705.70/141,658.05 = 64,943.50/x
  3. Step 3: Cross multiply
    102,705.70x = 141,658.05 × 64,943.50
  4. Step 4: Simplify right side
    102,705.70x = 9,199,769,570.18
  5. Step 5: Solve for x
    x = 9,199,769,570.18/102,705.70
  6. Step 6: Final answer
    x = 89,574.09

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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.