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Finding the Fourth Proportional to 153,710.21, 230,643.72 and 103,685.47

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Solution

The fourth proportional to 153,710.21, 230,643.72 and 103,685.47 is: 155,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,710.21 : 230,643.72 = 103,685.47 : x
  2. Step 2: Convert to fraction form
    153,710.21/230,643.72 = 103,685.47/x
  3. Step 3: Cross multiply
    153,710.21x = 230,643.72 × 103,685.47
  4. Step 4: Simplify right side
    153,710.21x = 23,914,402,510.75
  5. Step 5: Solve for x
    x = 23,914,402,510.75/153,710.21
  6. Step 6: Final answer
    x = 155,581.09

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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.