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Finding the Fourth Proportional to 147,602.06, 221,467.92 and 77,465

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Solution

The fourth proportional to 147,602.06, 221,467.92 and 77,465 is: 116,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,602.06 : 221,467.92 = 77,465 : x
  2. Step 2: Convert to fraction form
    147,602.06/221,467.92 = 77,465/x
  3. Step 3: Cross multiply
    147,602.06x = 221,467.92 × 77,465
  4. Step 4: Simplify right side
    147,602.06x = 17,156,012,422.80
  5. Step 5: Solve for x
    x = 17,156,012,422.80/147,602.06
  6. Step 6: Final answer
    x = 116,231.52

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1.5x scale

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.