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Finding the Fourth Proportional to 98,543.10, 147,851.10 and 31,985.40

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Solution

The fourth proportional to 98,543.10, 147,851.10 and 31,985.40 is: 47,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543.10 : 147,851.10 = 31,985.40 : x
  2. Step 2: Convert to fraction form
    98,543.10/147,851.10 = 31,985.40/x
  3. Step 3: Cross multiply
    98,543.10x = 147,851.10 × 31,985.40
  4. Step 4: Simplify right side
    98,543.10x = 4,729,076,573.94
  5. Step 5: Solve for x
    x = 4,729,076,573.94/98,543.10
  6. Step 6: Final answer
    x = 47,989.93

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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.