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Finding the Fourth Proportional to 152,973.68, 211,018.68 and 142,148.96

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Solution

The fourth proportional to 152,973.68, 211,018.68 and 142,148.96 is: 196,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,973.68 : 211,018.68 = 142,148.96 : x
  2. Step 2: Convert to fraction form
    152,973.68/211,018.68 = 142,148.96/x
  3. Step 3: Cross multiply
    152,973.68x = 211,018.68 × 142,148.96
  4. Step 4: Simplify right side
    152,973.68x = 29,996,085,902.57
  5. Step 5: Solve for x
    x = 29,996,085,902.57/152,973.68
  6. Step 6: Final answer
    x = 196,086.58

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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.