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Finding the Fourth Proportional to 257,975.12, 355,986.14 and 144,776

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Solution

The fourth proportional to 257,975.12, 355,986.14 and 144,776 is: 199,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,975.12 : 355,986.14 = 144,776 : x
  2. Step 2: Convert to fraction form
    257,975.12/355,986.14 = 144,776/x
  3. Step 3: Cross multiply
    257,975.12x = 355,986.14 × 144,776
  4. Step 4: Simplify right side
    257,975.12x = 51,538,248,680.76
  5. Step 5: Solve for x
    x = 51,538,248,680.76/257,975.12
  6. Step 6: Final answer
    x = 199,779.92

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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.