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Finding the Fourth Proportional to 229,681.78, 316,975.17 and 127,730.01

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Solution

The fourth proportional to 229,681.78, 316,975.17 and 127,730.01 is: 176,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,681.78 : 316,975.17 = 127,730.01 : x
  2. Step 2: Convert to fraction form
    229,681.78/316,975.17 = 127,730.01/x
  3. Step 3: Cross multiply
    229,681.78x = 316,975.17 × 127,730.01
  4. Step 4: Simplify right side
    229,681.78x = 40,487,243,301.50
  5. Step 5: Solve for x
    x = 40,487,243,301.50/229,681.78
  6. Step 6: Final answer
    x = 176,275.38

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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.