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Finding the Fourth Proportional to 98,578.40, 147,938.90 and 39,430.58

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Solution

The fourth proportional to 98,578.40, 147,938.90 and 39,430.58 is: 59,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.40 : 147,938.90 = 39,430.58 : x
  2. Step 2: Convert to fraction form
    98,578.40/147,938.90 = 39,430.58/x
  3. Step 3: Cross multiply
    98,578.40x = 147,938.90 × 39,430.58
  4. Step 4: Simplify right side
    98,578.40x = 5,833,315,694.71
  5. Step 5: Solve for x
    x = 5,833,315,694.71/98,578.40
  6. Step 6: Final answer
    x = 59,174.38

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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.