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Finding the Fourth Proportional to 141,873.16, 195,783.64 and 77,342.40

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Solution

The fourth proportional to 141,873.16, 195,783.64 and 77,342.40 is: 106,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,873.16 : 195,783.64 = 77,342.40 : x
  2. Step 2: Convert to fraction form
    141,873.16/195,783.64 = 77,342.40/x
  3. Step 3: Cross multiply
    141,873.16x = 195,783.64 × 77,342.40
  4. Step 4: Simplify right side
    141,873.16x = 15,142,376,598.34
  5. Step 5: Solve for x
    x = 15,142,376,598.34/141,873.16
  6. Step 6: Final answer
    x = 106,731.79

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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.