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Finding the Fourth Proportional to 145,038, 200,152.50 and 88,461.12

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Solution

The fourth proportional to 145,038, 200,152.50 and 88,461.12 is: 122,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,038 : 200,152.50 = 88,461.12 : x
  2. Step 2: Convert to fraction form
    145,038/200,152.50 = 88,461.12/x
  3. Step 3: Cross multiply
    145,038x = 200,152.50 × 88,461.12
  4. Step 4: Simplify right side
    145,038x = 17,705,714,320.80
  5. Step 5: Solve for x
    x = 17,705,714,320.80/145,038
  6. Step 6: Final answer
    x = 122,076.38

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1.5x scale

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.