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Finding the Fourth Proportional to 249,119.70, 343,775.28 and 147,178

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Solution

The fourth proportional to 249,119.70, 343,775.28 and 147,178 is: 203,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,119.70 : 343,775.28 = 147,178 : x
  2. Step 2: Convert to fraction form
    249,119.70/343,775.28 = 147,178/x
  3. Step 3: Cross multiply
    249,119.70x = 343,775.28 × 147,178
  4. Step 4: Simplify right side
    249,119.70x = 50,596,158,159.84
  5. Step 5: Solve for x
    x = 50,596,158,159.84/249,119.70
  6. Step 6: Final answer
    x = 203,099.79

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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.