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Finding the Fourth Proportional to 145,314.81, 217,843.07 and 56,547.57

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Solution

The fourth proportional to 145,314.81, 217,843.07 and 56,547.57 is: 84,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,314.81 : 217,843.07 = 56,547.57 : x
  2. Step 2: Convert to fraction form
    145,314.81/217,843.07 = 56,547.57/x
  3. Step 3: Cross multiply
    145,314.81x = 217,843.07 × 56,547.57
  4. Step 4: Simplify right side
    145,314.81x = 12,318,495,967.10
  5. Step 5: Solve for x
    x = 12,318,495,967.10/145,314.81
  6. Step 6: Final answer
    x = 84,771.10

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1.5x scale

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.