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Finding the Fourth Proportional to 166,538.40, 249,721.20 and 61,303.20

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Solution

The fourth proportional to 166,538.40, 249,721.20 and 61,303.20 is: 91,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,538.40 : 249,721.20 = 61,303.20 : x
  2. Step 2: Convert to fraction form
    166,538.40/249,721.20 = 61,303.20/x
  3. Step 3: Cross multiply
    166,538.40x = 249,721.20 × 61,303.20
  4. Step 4: Simplify right side
    166,538.40x = 15,308,708,667.84
  5. Step 5: Solve for x
    x = 15,308,708,667.84/166,538.40
  6. Step 6: Final answer
    x = 91,923.00

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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.