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Finding the Fourth Proportional to 142,969.84, 197,285.36 and 79,307.44

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Solution

The fourth proportional to 142,969.84, 197,285.36 and 79,307.44 is: 109,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,969.84 : 197,285.36 = 79,307.44 : x
  2. Step 2: Convert to fraction form
    142,969.84/197,285.36 = 79,307.44/x
  3. Step 3: Cross multiply
    142,969.84x = 197,285.36 × 79,307.44
  4. Step 4: Simplify right side
    142,969.84x = 15,646,196,851.08
  5. Step 5: Solve for x
    x = 15,646,196,851.08/142,969.84
  6. Step 6: Final answer
    x = 109,437.05

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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.