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Finding the Fourth Proportional to 272,070.51, 408,148.02 and 138,878.70

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Solution

The fourth proportional to 272,070.51, 408,148.02 and 138,878.70 is: 208,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,070.51 : 408,148.02 = 138,878.70 : x
  2. Step 2: Convert to fraction form
    272,070.51/408,148.02 = 138,878.70/x
  3. Step 3: Cross multiply
    272,070.51x = 408,148.02 × 138,878.70
  4. Step 4: Simplify right side
    272,070.51x = 56,683,066,425.17
  5. Step 5: Solve for x
    x = 56,683,066,425.17/272,070.51
  6. Step 6: Final answer
    x = 208,339.62

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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.