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Finding the Fourth Proportional to 105,758.90, 145,864.80 and 65,495.01

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Solution

The fourth proportional to 105,758.90, 145,864.80 and 65,495.01 is: 90,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,758.90 : 145,864.80 = 65,495.01 : x
  2. Step 2: Convert to fraction form
    105,758.90/145,864.80 = 65,495.01/x
  3. Step 3: Cross multiply
    105,758.90x = 145,864.80 × 65,495.01
  4. Step 4: Simplify right side
    105,758.90x = 9,553,417,081.64
  5. Step 5: Solve for x
    x = 9,553,417,081.64/105,758.90
  6. Step 6: Final answer
    x = 90,332.04

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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.