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Finding the Fourth Proportional to 98,868.69, 148,328.30 and 28,748

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Solution

The fourth proportional to 98,868.69, 148,328.30 and 28,748 is: 43,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,868.69 : 148,328.30 = 28,748 : x
  2. Step 2: Convert to fraction form
    98,868.69/148,328.30 = 28,748/x
  3. Step 3: Cross multiply
    98,868.69x = 148,328.30 × 28,748
  4. Step 4: Simplify right side
    98,868.69x = 4,264,141,968.40
  5. Step 5: Solve for x
    x = 4,264,141,968.40/98,868.69
  6. Step 6: Final answer
    x = 43,129.35

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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.