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Finding the Fourth Proportional to 162,730, 243,941.10 and 122,686.84

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Solution

The fourth proportional to 162,730, 243,941.10 and 122,686.84 is: 183,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,730 : 243,941.10 = 122,686.84 : x
  2. Step 2: Convert to fraction form
    162,730/243,941.10 = 122,686.84/x
  3. Step 3: Cross multiply
    162,730x = 243,941.10 × 122,686.84
  4. Step 4: Simplify right side
    162,730x = 29,928,362,705.12
  5. Step 5: Solve for x
    x = 29,928,362,705.12/162,730
  6. Step 6: Final answer
    x = 183,914.23

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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.