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Finding the Fourth Proportional to 171,689.40, 257,534.10 and 47,030.40

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Solution

The fourth proportional to 171,689.40, 257,534.10 and 47,030.40 is: 70,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,689.40 : 257,534.10 = 47,030.40 : x
  2. Step 2: Convert to fraction form
    171,689.40/257,534.10 = 47,030.40/x
  3. Step 3: Cross multiply
    171,689.40x = 257,534.10 × 47,030.40
  4. Step 4: Simplify right side
    171,689.40x = 12,111,931,736.64
  5. Step 5: Solve for x
    x = 12,111,931,736.64/171,689.40
  6. Step 6: Final answer
    x = 70,545.60

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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.