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Finding the Fourth Proportional to 257,931.32, 355,978.02 and 144,754.06

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Solution

The fourth proportional to 257,931.32, 355,978.02 and 144,754.06 is: 199,779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,931.32 : 355,978.02 = 144,754.06 : x
  2. Step 2: Convert to fraction form
    257,931.32/355,978.02 = 144,754.06/x
  3. Step 3: Cross multiply
    257,931.32x = 355,978.02 × 144,754.06
  4. Step 4: Simplify right side
    257,931.32x = 51,529,263,665.76
  5. Step 5: Solve for x
    x = 51,529,263,665.76/257,931.32
  6. Step 6: Final answer
    x = 199,779.01

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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.