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Finding the Fourth Proportional to 249,053.04, 343,703.52 and 141,642

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Solution

The fourth proportional to 249,053.04, 343,703.52 and 141,642 is: 195,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,053.04 : 343,703.52 = 141,642 : x
  2. Step 2: Convert to fraction form
    249,053.04/343,703.52 = 141,642/x
  3. Step 3: Cross multiply
    249,053.04x = 343,703.52 × 141,642
  4. Step 4: Simplify right side
    249,053.04x = 48,682,853,979.84
  5. Step 5: Solve for x
    x = 48,682,853,979.84/249,053.04
  6. Step 6: Final answer
    x = 195,471.83

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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.