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Finding the Fourth Proportional to 265,700, 366,666 and 152,559.20

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Solution

The fourth proportional to 265,700, 366,666 and 152,559.20 is: 210,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,700 : 366,666 = 152,559.20 : x
  2. Step 2: Convert to fraction form
    265,700/366,666 = 152,559.20/x
  3. Step 3: Cross multiply
    265,700x = 366,666 × 152,559.20
  4. Step 4: Simplify right side
    265,700x = 55,938,271,627.20
  5. Step 5: Solve for x
    x = 55,938,271,627.20/265,700
  6. Step 6: Final answer
    x = 210,531.70

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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.