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Finding the Fourth Proportional to 219,428.16, 329,168.62 and 77,243.91

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Solution

The fourth proportional to 219,428.16, 329,168.62 and 77,243.91 is: 115,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,428.16 : 329,168.62 = 77,243.91 : x
  2. Step 2: Convert to fraction form
    219,428.16/329,168.62 = 77,243.91/x
  3. Step 3: Cross multiply
    219,428.16x = 329,168.62 × 77,243.91
  4. Step 4: Simplify right side
    219,428.16x = 25,426,271,258.10
  5. Step 5: Solve for x
    x = 25,426,271,258.10/219,428.16
  6. Step 6: Final answer
    x = 115,875.15

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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.