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Finding the Fourth Proportional to 165,643.80, 248,465.70 and 152,813.40

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Solution

The fourth proportional to 165,643.80, 248,465.70 and 152,813.40 is: 229,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,643.80 : 248,465.70 = 152,813.40 : x
  2. Step 2: Convert to fraction form
    165,643.80/248,465.70 = 152,813.40/x
  3. Step 3: Cross multiply
    165,643.80x = 248,465.70 × 152,813.40
  4. Step 4: Simplify right side
    165,643.80x = 37,968,888,400.38
  5. Step 5: Solve for x
    x = 37,968,888,400.38/165,643.80
  6. Step 6: Final answer
    x = 229,220.10

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1.5x scale

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.