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Finding the Fourth Proportional to 142,878.56, 197,333.80 and 97,478.56

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Solution

The fourth proportional to 142,878.56, 197,333.80 and 97,478.56 is: 134,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,878.56 : 197,333.80 = 97,478.56 : x
  2. Step 2: Convert to fraction form
    142,878.56/197,333.80 = 97,478.56/x
  3. Step 3: Cross multiply
    142,878.56x = 197,333.80 × 97,478.56
  4. Step 4: Simplify right side
    142,878.56x = 19,235,814,663.33
  5. Step 5: Solve for x
    x = 19,235,814,663.33/142,878.56
  6. Step 6: Final answer
    x = 134,630.52

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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.