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Finding the Fourth Proportional to 203,510.64, 305,312.47 and 70,390.78

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Solution

The fourth proportional to 203,510.64, 305,312.47 and 70,390.78 is: 105,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,510.64 : 305,312.47 = 70,390.78 : x
  2. Step 2: Convert to fraction form
    203,510.64/305,312.47 = 70,390.78/x
  3. Step 3: Cross multiply
    203,510.64x = 305,312.47 × 70,390.78
  4. Step 4: Simplify right side
    203,510.64x = 21,491,182,907.03
  5. Step 5: Solve for x
    x = 21,491,182,907.03/203,510.64
  6. Step 6: Final answer
    x = 105,602.26

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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.