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Finding the Fourth Proportional to 145,242, 217,863 and 46,746

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Solution

The fourth proportional to 145,242, 217,863 and 46,746 is: 70,119

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,242 : 217,863 = 46,746 : x
  2. Step 2: Convert to fraction form
    145,242/217,863 = 46,746/x
  3. Step 3: Cross multiply
    145,242x = 217,863 × 46,746
  4. Step 4: Simplify right side
    145,242x = 10,184,223,798
  5. Step 5: Solve for x
    x = 10,184,223,798/145,242
  6. Step 6: Final answer
    x = 70,119

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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.