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Finding the Fourth Proportional to 142,397.36, 196,509.36 and 77,866.88

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Solution

The fourth proportional to 142,397.36, 196,509.36 and 77,866.88 is: 107,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,397.36 : 196,509.36 = 77,866.88 : x
  2. Step 2: Convert to fraction form
    142,397.36/196,509.36 = 77,866.88/x
  3. Step 3: Cross multiply
    142,397.36x = 196,509.36 × 77,866.88
  4. Step 4: Simplify right side
    142,397.36x = 15,301,570,754.00
  5. Step 5: Solve for x
    x = 15,301,570,754.00/142,397.36
  6. Step 6: Final answer
    x = 107,456.84

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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.