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Finding the Fourth Proportional to 55,952.90, 77,214.80 and 30,802.40

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Solution

The fourth proportional to 55,952.90, 77,214.80 and 30,802.40 is: 42,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952.90 : 77,214.80 = 30,802.40 : x
  2. Step 2: Convert to fraction form
    55,952.90/77,214.80 = 30,802.40/x
  3. Step 3: Cross multiply
    55,952.90x = 77,214.80 × 30,802.40
  4. Step 4: Simplify right side
    55,952.90x = 2,378,401,155.52
  5. Step 5: Solve for x
    x = 2,378,401,155.52/55,952.90
  6. Step 6: Final answer
    x = 42,507.20

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1.5x scale

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.