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Finding the Fourth Proportional to 183,520.64, 253,238.10 and 102,931.40

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Solution

The fourth proportional to 183,520.64, 253,238.10 and 102,931.40 is: 142,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,520.64 : 253,238.10 = 102,931.40 : x
  2. Step 2: Convert to fraction form
    183,520.64/253,238.10 = 102,931.40/x
  3. Step 3: Cross multiply
    183,520.64x = 253,238.10 × 102,931.40
  4. Step 4: Simplify right side
    183,520.64x = 26,066,152,166.34
  5. Step 5: Solve for x
    x = 26,066,152,166.34/183,520.64
  6. Step 6: Final answer
    x = 142,033.90

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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.