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Finding the Fourth Proportional to 98,283.78, 147,447.54 and 28,157.63

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Solution

The fourth proportional to 98,283.78, 147,447.54 and 28,157.63 is: 42,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,283.78 : 147,447.54 = 28,157.63 : x
  2. Step 2: Convert to fraction form
    98,283.78/147,447.54 = 28,157.63/x
  3. Step 3: Cross multiply
    98,283.78x = 147,447.54 × 28,157.63
  4. Step 4: Simplify right side
    98,283.78x = 4,151,772,538.49
  5. Step 5: Solve for x
    x = 4,151,772,538.49/98,283.78
  6. Step 6: Final answer
    x = 42,242.70

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1.5x scale

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.