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Finding the Fourth Proportional to 242,064, 334,048.32 and 136,080

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Solution

The fourth proportional to 242,064, 334,048.32 and 136,080 is: 187,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,064 : 334,048.32 = 136,080 : x
  2. Step 2: Convert to fraction form
    242,064/334,048.32 = 136,080/x
  3. Step 3: Cross multiply
    242,064x = 334,048.32 × 136,080
  4. Step 4: Simplify right side
    242,064x = 45,457,295,385.60
  5. Step 5: Solve for x
    x = 45,457,295,385.60/242,064
  6. Step 6: Final answer
    x = 187,790.40

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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.