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Finding the Fourth Proportional to 142,763.76, 214,454.64 and 92,818.16

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Solution

The fourth proportional to 142,763.76, 214,454.64 and 92,818.16 is: 139,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,763.76 : 214,454.64 = 92,818.16 : x
  2. Step 2: Convert to fraction form
    142,763.76/214,454.64 = 92,818.16/x
  3. Step 3: Cross multiply
    142,763.76x = 214,454.64 × 92,818.16
  4. Step 4: Simplify right side
    142,763.76x = 19,905,285,088.26
  5. Step 5: Solve for x
    x = 19,905,285,088.26/142,763.76
  6. Step 6: Final answer
    x = 139,428.14

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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.