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Finding the Fourth Proportional to 152,465.40, 228,698.10 and 69,359.40

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Solution

The fourth proportional to 152,465.40, 228,698.10 and 69,359.40 is: 104,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,465.40 : 228,698.10 = 69,359.40 : x
  2. Step 2: Convert to fraction form
    152,465.40/228,698.10 = 69,359.40/x
  3. Step 3: Cross multiply
    152,465.40x = 228,698.10 × 69,359.40
  4. Step 4: Simplify right side
    152,465.40x = 15,862,362,997.14
  5. Step 5: Solve for x
    x = 15,862,362,997.14/152,465.40
  6. Step 6: Final answer
    x = 104,039.10

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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.