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Finding the Fourth Proportional to 153,472.89, 211,802.31 and 86,409.21

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Solution

The fourth proportional to 153,472.89, 211,802.31 and 86,409.21 is: 119,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,472.89 : 211,802.31 = 86,409.21 : x
  2. Step 2: Convert to fraction form
    153,472.89/211,802.31 = 86,409.21/x
  3. Step 3: Cross multiply
    153,472.89x = 211,802.31 × 86,409.21
  4. Step 4: Simplify right side
    153,472.89x = 18,301,670,283.28
  5. Step 5: Solve for x
    x = 18,301,670,283.28/153,472.89
  6. Step 6: Final answer
    x = 119,250.18

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1.5x scale

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.