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Finding the Fourth Proportional to 142,345.63, 196,437.02 and 77,815.15

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Solution

The fourth proportional to 142,345.63, 196,437.02 and 77,815.15 is: 107,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,345.63 : 196,437.02 = 77,815.15 : x
  2. Step 2: Convert to fraction form
    142,345.63/196,437.02 = 77,815.15/x
  3. Step 3: Cross multiply
    142,345.63x = 196,437.02 × 77,815.15
  4. Step 4: Simplify right side
    142,345.63x = 15,285,775,296.68
  5. Step 5: Solve for x
    x = 15,285,775,296.68/142,345.63
  6. Step 6: Final answer
    x = 107,384.93

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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.