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Finding the Fourth Proportional to 542,090.19, 813,070.70 and 142,762.11

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Solution

The fourth proportional to 542,090.19, 813,070.70 and 142,762.11 is: 214,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,090.19 : 813,070.70 = 142,762.11 : x
  2. Step 2: Convert to fraction form
    542,090.19/813,070.70 = 142,762.11/x
  3. Step 3: Cross multiply
    542,090.19x = 813,070.70 × 142,762.11
  4. Step 4: Simplify right side
    542,090.19x = 116,075,688,711.18
  5. Step 5: Solve for x
    x = 116,075,688,711.18/542,090.19
  6. Step 6: Final answer
    x = 214,126.16

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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.