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Finding the Fourth Proportional to 142,418, 196,533.60 and 78,756.32

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Solution

The fourth proportional to 142,418, 196,533.60 and 78,756.32 is: 108,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,418 : 196,533.60 = 78,756.32 : x
  2. Step 2: Convert to fraction form
    142,418/196,533.60 = 78,756.32/x
  3. Step 3: Cross multiply
    142,418x = 196,533.60 × 78,756.32
  4. Step 4: Simplify right side
    142,418x = 15,478,263,092.35
  5. Step 5: Solve for x
    x = 15,478,263,092.35/142,418
  6. Step 6: Final answer
    x = 108,681.93

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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.