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Finding the Fourth Proportional to 153,802.19, 212,263.47 and 85,842.79

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Solution

The fourth proportional to 153,802.19, 212,263.47 and 85,842.79 is: 118,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,802.19 : 212,263.47 = 85,842.79 : x
  2. Step 2: Convert to fraction form
    153,802.19/212,263.47 = 85,842.79/x
  3. Step 3: Cross multiply
    153,802.19x = 212,263.47 × 85,842.79
  4. Step 4: Simplify right side
    153,802.19x = 18,221,287,949.22
  5. Step 5: Solve for x
    x = 18,221,287,949.22/153,802.19
  6. Step 6: Final answer
    x = 118,472.22

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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.