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Finding the Fourth Proportional to 102,507.60, 153,783.90 and 31,440

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Solution

The fourth proportional to 102,507.60, 153,783.90 and 31,440 is: 47,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507.60 : 153,783.90 = 31,440 : x
  2. Step 2: Convert to fraction form
    102,507.60/153,783.90 = 31,440/x
  3. Step 3: Cross multiply
    102,507.60x = 153,783.90 × 31,440
  4. Step 4: Simplify right side
    102,507.60x = 4,834,965,816
  5. Step 5: Solve for x
    x = 4,834,965,816/102,507.60
  6. Step 6: Final answer
    x = 47,166.90

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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.