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Finding the Fourth Proportional to 98,425, 147,637.50 and 31,920.76

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Solution

The fourth proportional to 98,425, 147,637.50 and 31,920.76 is: 47,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,425 : 147,637.50 = 31,920.76 : x
  2. Step 2: Convert to fraction form
    98,425/147,637.50 = 31,920.76/x
  3. Step 3: Cross multiply
    98,425x = 147,637.50 × 31,920.76
  4. Step 4: Simplify right side
    98,425x = 4,712,701,204.50
  5. Step 5: Solve for x
    x = 4,712,701,204.50/98,425
  6. Step 6: Final answer
    x = 47,881.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.