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Finding the Fourth Proportional to 105,801.12, 158,697.36 and 43,470

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Solution

The fourth proportional to 105,801.12, 158,697.36 and 43,470 is: 65,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,801.12 : 158,697.36 = 43,470 : x
  2. Step 2: Convert to fraction form
    105,801.12/158,697.36 = 43,470/x
  3. Step 3: Cross multiply
    105,801.12x = 158,697.36 × 43,470
  4. Step 4: Simplify right side
    105,801.12x = 6,898,574,239.20
  5. Step 5: Solve for x
    x = 6,898,574,239.20/105,801.12
  6. Step 6: Final answer
    x = 65,203.23

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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.