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Finding the Fourth Proportional to 212,130.76, 292,741.52 and 116,643.60

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Solution

The fourth proportional to 212,130.76, 292,741.52 and 116,643.60 is: 160,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,130.76 : 292,741.52 = 116,643.60 : x
  2. Step 2: Convert to fraction form
    212,130.76/292,741.52 = 116,643.60/x
  3. Step 3: Cross multiply
    212,130.76x = 292,741.52 × 116,643.60
  4. Step 4: Simplify right side
    212,130.76x = 34,146,424,762.27
  5. Step 5: Solve for x
    x = 34,146,424,762.27/212,130.76
  6. Step 6: Final answer
    x = 160,968.76

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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.