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Finding the Fourth Proportional to 77,897.60, 116,803.20 and 31,097.60

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Solution

The fourth proportional to 77,897.60, 116,803.20 and 31,097.60 is: 46,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,897.60 : 116,803.20 = 31,097.60 : x
  2. Step 2: Convert to fraction form
    77,897.60/116,803.20 = 31,097.60/x
  3. Step 3: Cross multiply
    77,897.60x = 116,803.20 × 31,097.60
  4. Step 4: Simplify right side
    77,897.60x = 3,632,299,192.32
  5. Step 5: Solve for x
    x = 3,632,299,192.32/77,897.60
  6. Step 6: Final answer
    x = 46,629.15

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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.