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Finding the Fourth Proportional to 102,530.88, 153,801.04 and 31,448.32

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Solution

The fourth proportional to 102,530.88, 153,801.04 and 31,448.32 is: 47,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,530.88 : 153,801.04 = 31,448.32 : x
  2. Step 2: Convert to fraction form
    102,530.88/153,801.04 = 31,448.32/x
  3. Step 3: Cross multiply
    102,530.88x = 153,801.04 × 31,448.32
  4. Step 4: Simplify right side
    102,530.88x = 4,836,784,322.25
  5. Step 5: Solve for x
    x = 4,836,784,322.25/102,530.88
  6. Step 6: Final answer
    x = 47,173.93

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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.