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Finding the Fourth Proportional to 105,573.16, 145,684.74 and 57,817

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Solution

The fourth proportional to 105,573.16, 145,684.74 and 57,817 is: 79,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,573.16 : 145,684.74 = 57,817 : x
  2. Step 2: Convert to fraction form
    105,573.16/145,684.74 = 57,817/x
  3. Step 3: Cross multiply
    105,573.16x = 145,684.74 × 57,817
  4. Step 4: Simplify right side
    105,573.16x = 8,423,054,612.58
  5. Step 5: Solve for x
    x = 8,423,054,612.58/105,573.16
  6. Step 6: Final answer
    x = 79,784.05

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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.