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Finding the Fourth Proportional to 153,838.26, 212,289.93 and 85,851.54

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Solution

The fourth proportional to 153,838.26, 212,289.93 and 85,851.54 is: 118,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,838.26 : 212,289.93 = 85,851.54 : x
  2. Step 2: Convert to fraction form
    153,838.26/212,289.93 = 85,851.54/x
  3. Step 3: Cross multiply
    153,838.26x = 212,289.93 × 85,851.54
  4. Step 4: Simplify right side
    153,838.26x = 18,225,417,416.99
  5. Step 5: Solve for x
    x = 18,225,417,416.99/153,838.26
  6. Step 6: Final answer
    x = 118,471.29

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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.