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Finding the Fourth Proportional to 242,158, 334,178.40 and 136,174

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Solution

The fourth proportional to 242,158, 334,178.40 and 136,174 is: 187,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,158 : 334,178.40 = 136,174 : x
  2. Step 2: Convert to fraction form
    242,158/334,178.40 = 136,174/x
  3. Step 3: Cross multiply
    242,158x = 334,178.40 × 136,174
  4. Step 4: Simplify right side
    242,158x = 45,506,409,441.60
  5. Step 5: Solve for x
    x = 45,506,409,441.60/242,158
  6. Step 6: Final answer
    x = 187,920.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.