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Finding the Fourth Proportional to 105,765, 145,955.70 and 61,053

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Solution

The fourth proportional to 105,765, 145,955.70 and 61,053 is: 84,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,765 : 145,955.70 = 61,053 : x
  2. Step 2: Convert to fraction form
    105,765/145,955.70 = 61,053/x
  3. Step 3: Cross multiply
    105,765x = 145,955.70 × 61,053
  4. Step 4: Simplify right side
    105,765x = 8,911,033,352.10
  5. Step 5: Solve for x
    x = 8,911,033,352.10/105,765
  6. Step 6: Final answer
    x = 84,253.14

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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.