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Finding the Fourth Proportional to 224,643, 310,007.34 and 145,155

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Solution

The fourth proportional to 224,643, 310,007.34 and 145,155 is: 200,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,643 : 310,007.34 = 145,155 : x
  2. Step 2: Convert to fraction form
    224,643/310,007.34 = 145,155/x
  3. Step 3: Cross multiply
    224,643x = 310,007.34 × 145,155
  4. Step 4: Simplify right side
    224,643x = 44,999,115,437.70
  5. Step 5: Solve for x
    x = 44,999,115,437.70/224,643
  6. Step 6: Final answer
    x = 200,313.90

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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.