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Finding the Fourth Proportional to 103,637.96, 142,674.50 and 98,877

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Solution

The fourth proportional to 103,637.96, 142,674.50 and 98,877 is: 136,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,637.96 : 142,674.50 = 98,877 : x
  2. Step 2: Convert to fraction form
    103,637.96/142,674.50 = 98,877/x
  3. Step 3: Cross multiply
    103,637.96x = 142,674.50 × 98,877
  4. Step 4: Simplify right side
    103,637.96x = 14,107,226,536.50
  5. Step 5: Solve for x
    x = 14,107,226,536.50/103,637.96
  6. Step 6: Final answer
    x = 136,120.26

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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.