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Finding the Fourth Proportional to 212,307.30, 293,114.98 and 146,117.76

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Solution

The fourth proportional to 212,307.30, 293,114.98 and 146,117.76 is: 201,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,307.30 : 293,114.98 = 146,117.76 : x
  2. Step 2: Convert to fraction form
    212,307.30/293,114.98 = 146,117.76/x
  3. Step 3: Cross multiply
    212,307.30x = 293,114.98 × 146,117.76
  4. Step 4: Simplify right side
    212,307.30x = 42,829,304,300.04
  5. Step 5: Solve for x
    x = 42,829,304,300.04/212,307.30
  6. Step 6: Final answer
    x = 201,732.60

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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.