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Finding the Fourth Proportional to 212,490.88, 318,528.96 and 101,760.64

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Solution

The fourth proportional to 212,490.88, 318,528.96 and 101,760.64 is: 152,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,490.88 : 318,528.96 = 101,760.64 : x
  2. Step 2: Convert to fraction form
    212,490.88/318,528.96 = 101,760.64/x
  3. Step 3: Cross multiply
    212,490.88x = 318,528.96 × 101,760.64
  4. Step 4: Simplify right side
    212,490.88x = 32,413,710,828.13
  5. Step 5: Solve for x
    x = 32,413,710,828.13/212,490.88
  6. Step 6: Final answer
    x = 152,541.66

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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.