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Finding the Fourth Proportional to 201,541.40, 302,312.10 and 142,492.40

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Solution

The fourth proportional to 201,541.40, 302,312.10 and 142,492.40 is: 213,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,541.40 : 302,312.10 = 142,492.40 : x
  2. Step 2: Convert to fraction form
    201,541.40/302,312.10 = 142,492.40/x
  3. Step 3: Cross multiply
    201,541.40x = 302,312.10 × 142,492.40
  4. Step 4: Simplify right side
    201,541.40x = 43,077,176,678.04
  5. Step 5: Solve for x
    x = 43,077,176,678.04/201,541.40
  6. Step 6: Final answer
    x = 213,738.60

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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.