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Finding the Fourth Proportional to 142,773.74, 197,019.54 and 78,230.36

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Solution

The fourth proportional to 142,773.74, 197,019.54 and 78,230.36 is: 107,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,773.74 : 197,019.54 = 78,230.36 : x
  2. Step 2: Convert to fraction form
    142,773.74/197,019.54 = 78,230.36/x
  3. Step 3: Cross multiply
    142,773.74x = 197,019.54 × 78,230.36
  4. Step 4: Simplify right side
    142,773.74x = 15,412,908,925.55
  5. Step 5: Solve for x
    x = 15,412,908,925.55/142,773.74
  6. Step 6: Final answer
    x = 107,953.39

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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.