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Finding the Fourth Proportional to 152,407.10, 210,300.97 and 84,407.29

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Solution

The fourth proportional to 152,407.10, 210,300.97 and 84,407.29 is: 116,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,407.10 : 210,300.97 = 84,407.29 : x
  2. Step 2: Convert to fraction form
    152,407.10/210,300.97 = 84,407.29/x
  3. Step 3: Cross multiply
    152,407.10x = 210,300.97 × 84,407.29
  4. Step 4: Simplify right side
    152,407.10x = 17,750,934,962.07
  5. Step 5: Solve for x
    x = 17,750,934,962.07/152,407.10
  6. Step 6: Final answer
    x = 116,470.53

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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.