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Finding the Fourth Proportional to 210,731.76, 316,097.28 and 98,374.32

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Solution

The fourth proportional to 210,731.76, 316,097.28 and 98,374.32 is: 147,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,731.76 : 316,097.28 = 98,374.32 : x
  2. Step 2: Convert to fraction form
    210,731.76/316,097.28 = 98,374.32/x
  3. Step 3: Cross multiply
    210,731.76x = 316,097.28 × 98,374.32
  4. Step 4: Simplify right side
    210,731.76x = 31,095,854,973.85
  5. Step 5: Solve for x
    x = 31,095,854,973.85/210,731.76
  6. Step 6: Final answer
    x = 147,561.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.